名校
1 . 已知两个不共线的向量
的夹角为
,且
为正实数.
(1)若
与
垂直,求
在
上的投影;
(2)若
,求
的最小值及对应的
的值,并指出此时向量
与
的位置关系.
(3)若
为锐角,对于正实数
,关于
的方程
有两个不同的正实数解,且
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcb45d79ed37ed115c473f52c60d02a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74206063e86df3bbd8bd035722470aa2.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed4ad35dcb553c18a2ac000b2af134ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/218106d875f7cb77ba5ebcc866b5de33.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2150cb0060a14e88e93c33cf456ae832.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/515b1e449cde902a74977b1fc3b31100.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0bc1f08c7640e62e8717abf4d44a6c83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9b36ef9a0b6fbd6e73fb3acf909349c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2150cb0060a14e88e93c33cf456ae832.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3cec2151f42e66f9902dca423235b67f.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a32b489dc708f75a60cc4c9dcec5cb6c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18eb689ecf90784586123facc12bcec6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2019-05-22更新
|
131次组卷
|
2卷引用:【市级联考】江西省赣州市十五县(市)2018-2019学年高一下学期期中联考数学试题
2 . 已知向量
,向量
.
(1)求向量
在向量
方向上正射影的数量:
(2)设函数
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92b42048481d02f1112bbcd877790334.png)
①求
的单调递增区间;
②若关于
的方程
在
上有两个不同解,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/823bf70bf727084db25b1f9468a7f090.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e512951c9cfe5c696bfa2ff253cec9df.png)
(1)求向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2150cb0060a14e88e93c33cf456ae832.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/515b1e449cde902a74977b1fc3b31100.png)
(2)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f1349f34dc18ab31c663e9d6bac7407.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92b42048481d02f1112bbcd877790334.png)
①求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
②若关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/004b9feb796a885546f1896e20c9ab58.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18a52298e06894173520ca36a565bef5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次